question_answer

\[\int{{{7}^{{{7}^{{{7}^{x}}}}}}}\cdot {{7}^{{{7}^{x}}}}\cdot {{7}^{x}}\,\,dx\] is equal to ____.

A)  \[\frac{{{7}^{{{7}^{{{7}^{x}}}}}}}{{{({{\log }_{e}}7)}^{2}}}+C\]                     

B)  \[\frac{{{7}^{{{7}^{{{7}^{x}}}}}}}{{{({{\log }_{e}}7)}^{3}}}+C\]

C)  \[{{7}^{{{7}^{{{7}^{x}}}}}}\cdot {{(\log 7)}^{3}}+C\]    

D)  \[{{7}^{{{7}^{{{7}^{x}}}}}}\cdot {{({{\log }_{e}}7)}^{2}}+C\]

E)  None of these